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Finding the Fourth Proportional to 169,857.20, 254,810.10 and 51,537.80

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Solution

The fourth proportional to 169,857.20, 254,810.10 and 51,537.80 is: 77,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,857.20 : 254,810.10 = 51,537.80 : x
  2. Step 2: Convert to fraction form
    169,857.20/254,810.10 = 51,537.80/x
  3. Step 3: Cross multiply
    169,857.20x = 254,810.10 × 51,537.80
  4. Step 4: Simplify right side
    169,857.20x = 13,132,351,971.78
  5. Step 5: Solve for x
    x = 13,132,351,971.78/169,857.20
  6. Step 6: Final answer
    x = 77,314.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.